On the theory of the plastic potential
Author:
Hans Ziegler
Journal:
Quart. Appl. Math. 19 (1961), 39-44
MSC:
Primary 73.00
DOI:
https://doi.org/10.1090/qam/122161
MathSciNet review:
122161
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References |
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Additional Information
R. von Mises, Mechanik der plastischen Formänderung von Kristallen, Z. angew. Math. Mech. 8, 161 (1928).
- William Prager, An introduction to plasticity, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959. MR 0105910
- W. T. Koiter, General theorems for elastic-plastic solids, Progress in solid mechanics, Vol. 1, North-Holland Publishing Co., Amsterdam, 1960, pp. 165–221. MR 0112405
- D. C. Drucker, Some implications of work hardening and ideal plasticity, Quart. Appl. Math. 7 (1950), 411–418. MR 34210, DOI https://doi.org/10.1090/S0033-569X-1950-34210-6
- J. F. W. Bishop and R. Hill, A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Philos. Mag. (7) 42 (1951), 414–427. MR 41691
- Hans Ziegler, An attempt to generalize Onsager’s principle, and its significance for rheological problems, Z. Angew. Math. Phys. 9b (1958), 748–763. MR 94943, DOI https://doi.org/10.1007/BF02424793
L. Onsager, Reciprocal relations in irreversible processes, Phys. Rev. 37 (II), 405 (1931) and 38 (II), 2265 (1931).
- Hans Ziegler, Über den Zusammenhang zwischen der Fliessbedingung eines starrplastischen Körpers und seinem Fliessgesetz, Z. Angew. Math. Phys. 11 (1960), 413–426 (German, with English summary). MR 122162, DOI https://doi.org/10.1007/BF01604499
- Hans Ziegler, Über den Zusammenhang zwischen der Fliessbedingung eines elastisch-plastischen Körpers und seinem Fliessgesetz, Z. Angew. Math. Phys. 12 (1961), 53–68 (German, with English summary). MR 127632, DOI https://doi.org/10.1007/BF01601107
- J. L. Synge, The hypercircle in mathematical physics: a method for the approximate solution of boundary value problems, Cambridge University Press, New York, 1957. MR 0097605
R. von Mises, Mechanik der plastischen Formänderung von Kristallen, Z. angew. Math. Mech. 8, 161 (1928).
W. Prager, An introduction to plasticity, Addison-Wesley, Reading, Mass. 1959, p. 13.
W. T. Koiter, General theorems for elastic-plastic solids, in I. N. Sneddon and R. Hill, Progress in solid mechanics, North-Holland Publishing Co., Amsterdam 1960, p. 172.
D. C. Drucker, Some implications of work hardening and ideal plasticity, Quart. Appl. Math. 7, 411 (1949).
J. F. W. Bishop and R. Hill, A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Phys. Mag. (7) 42, 414 (1951).
H. Ziegler, An attempt to generalize Onsager’s principle, and its significance for rheological problems, Z. angew. Math. Phys. 9b, 748 (1958).
L. Onsager, Reciprocal relations in irreversible processes, Phys. Rev. 37 (II), 405 (1931) and 38 (II), 2265 (1931).
H. Ziegler, Ueber den Zusammenhang zwischen der Fliessbedingung eines starrplastischen Körpers und seinern Fliessgesetz, Z. angew. Math. Phys. 11, 413 (1960).
H. Ziegler, Ueber den Zusammenhang zwischen der Fliessbedingung eines elastisch-plastischen Körpers und seinem Fliessgesetz, Z. angew. Math. Phys. 12, (1961).
J. L. Synge, The hypercircle in mathematical physics, Cambridge University Press 1957, p. 37.
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Article copyright:
© Copyright 1961
American Mathematical Society
